{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:QXD3HE6I5FSSGRPXR5Z4A42DYE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7963b86f0ab9e718bbd540f4354579ff0c7d3b3d868960387a1558f716b65063","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-03-16T19:27:17Z","title_canon_sha256":"297e792b320a9bb2c237a6f19cb32914f2ee8d65a20677cf520c77ad16759ee1"},"schema_version":"1.0","source":{"id":"hep-th/0403167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0403167","created_at":"2026-05-18T01:05:58Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0403167v1","created_at":"2026-05-18T01:05:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0403167","created_at":"2026-05-18T01:05:58Z"},{"alias_kind":"pith_short_12","alias_value":"QXD3HE6I5FSS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"QXD3HE6I5FSSGRPX","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"QXD3HE6I","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:aba0a5072bf2d10d1eeef9857944ed19689377a2f6f59797242054cde340b3ce","target":"graph","created_at":"2026-05-18T01:05:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper we show how S-duality of type IIB superstrings leads to an S-duality relating A and B model topological strings on the same Calabi-Yau as had been conjectured recently: D-instantons of the B-model correspond to A-model perturbative amplitudes and D-instantons of the A-model capture perturbative B-model amplitudes.\n Moreover this confirms the existence of new branes in the two models.\n As an application we explain the recent results concerning A-model topological strings on Calabi-Yau and its equivalence to the statistical mechanical model of melting crystal.","authors_text":"C. Vafa, H. Ooguri, N. Nekrasov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-03-16T19:27:17Z","title":"S-duality and Topological Strings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0403167","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:616a322181fc4d1511baee37e291e6d6639538e711fb3ebc3b371032d384be7a","target":"record","created_at":"2026-05-18T01:05:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7963b86f0ab9e718bbd540f4354579ff0c7d3b3d868960387a1558f716b65063","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-03-16T19:27:17Z","title_canon_sha256":"297e792b320a9bb2c237a6f19cb32914f2ee8d65a20677cf520c77ad16759ee1"},"schema_version":"1.0","source":{"id":"hep-th/0403167","kind":"arxiv","version":1}},"canonical_sha256":"85c7b393c8e9652345f78f73c07343c13096b99d89cebabcae0315c056f72795","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85c7b393c8e9652345f78f73c07343c13096b99d89cebabcae0315c056f72795","first_computed_at":"2026-05-18T01:05:58.883007Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:58.883007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QiUSmKcss6oUwErms4PMDTfj069qPzSjLcQAE0IxbA2tZgTPHNeMXLXtZiAIEIygyum8eorM33UMSL+vuUVVCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:58.883503Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0403167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:616a322181fc4d1511baee37e291e6d6639538e711fb3ebc3b371032d384be7a","sha256:aba0a5072bf2d10d1eeef9857944ed19689377a2f6f59797242054cde340b3ce"],"state_sha256":"febdf9941f16a9ee5d649e8a150b264558ac9ed0a368f0f77aa5d3c71b5cf3e7"}